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Finding the Third Proportional to 68,730 and 146,146.50

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Solution

The third proportional to 68,730 and 146,146.50 is: 310,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,730 : 146,146.50 = 146,146.50 : x
  2. Step 2: Convert to fraction form
    68,730/146,146.50 = 146,146.50/x
  3. Step 3: Cross multiply
    68,730x = 146,146.50 × 146,146.50
  4. Step 4: Simplify right side
    68,730x = 21,358,799,462.25
  5. Step 5: Solve for x
    x = 21,358,799,462.25/68,730
  6. Step 6: Final answer
    x = 310,763.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.